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Finding the Fourth Proportional to 1,804.04, 2,705.90 and 505.48

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Solution

The fourth proportional to 1,804.04, 2,705.90 and 505.48 is: 758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.04 : 2,705.90 = 505.48 : x
  2. Step 2: Convert to fraction form
    1,804.04/2,705.90 = 505.48/x
  3. Step 3: Cross multiply
    1,804.04x = 2,705.90 × 505.48
  4. Step 4: Simplify right side
    1,804.04x = 1,367,778.33
  5. Step 5: Solve for x
    x = 1,367,778.33/1,804.04
  6. Step 6: Final answer
    x = 758.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.